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The Onset of Ferromagnetic Convection in a Micropolar Ferromagnetic Fluid Layer Heated from Below

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Author(s): C. E. Nanjundappa | I. S. Shivakumara | K. Srikumar

Journal: Journal of Electromagnetic Analysis and Applications
ISSN 1942-0730

Volume: 05;
Issue: 03;
Start page: 120;
Date: 2013;
Original page

Keywords: Micropolar Ferrofluid | Ferromagnetic Convection | Paramagnetic Boundaries | Rigid Boundaries | Magnetic Susceptibility

ABSTRACT
The onset of ferromagnetic convection in a micropolar ferromagnetic fluid layer heated from below in the presence of a uniform applied vertical magnetic field has been investigated. The rigid-isothermal boundaries of the fluid layer are considered to be either paramagnetic or ferromagnetic and the eigenvalue problem is solved numerically using the Galerkin method. It is noted that the paramagnetic boundaries with large magnetic susceptibility χ delays the onset of ferromagnetic convection the most when compared to very low magnetic susceptibility as well as ferromagnetic boundaries. Increase in the value of magnetic parameter M1 and spin diffusion (couple stress) parameter N3 is to hasten, while increase in the value of coupling parameter N1 and micropolar heat conduction parameter N5 is to delay the onset of ferromagnetic convection. Further, increase in the value of M1, N1, N5 and χ as well as decrease in N3 is to diminish the size of convection cells.
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